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Finding the Fourth Proportional to 3,208.71, 4,427.77 and 1,792.29

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Solution

The fourth proportional to 3,208.71, 4,427.77 and 1,792.29 is: 2,473.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,208.71 : 4,427.77 = 1,792.29 : x
  2. Step 2: Convert to fraction form
    3,208.71/4,427.77 = 1,792.29/x
  3. Step 3: Cross multiply
    3,208.71x = 4,427.77 × 1,792.29
  4. Step 4: Simplify right side
    3,208.71x = 7,935,838.47
  5. Step 5: Solve for x
    x = 7,935,838.47/3,208.71
  6. Step 6: Final answer
    x = 2,473.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.